Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection
Joint Authors
Han, Zhenlai
Cheng, Xingong
Yang, Xinchao
Zong, Xiju
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The stability and bifurcation analysis for a delay differential equation of hepatitis B virus infection is investigated.
We show the existence of nonnegative equilibria under some appropriated conditions.
The existence of the Hopf bifurcation with delay τ at the endemic equilibria is established by analyzing the distribution of the characteristic values.
The explicit formulae which determine the direction of the bifurcations, stability, and the other properties of the bifurcating periodic solutions are given by using the normal form theory and the center manifold theorem.
Numerical simulation verifies the theoretical results.
American Psychological Association (APA)
Yang, Xinchao& Zong, Xiju& Cheng, Xingong& Han, Zhenlai. 2013. Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-505418
Modern Language Association (MLA)
Yang, Xinchao…[et al.]. Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection. Journal of Applied Mathematics No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-505418
American Medical Association (AMA)
Yang, Xinchao& Zong, Xiju& Cheng, Xingong& Han, Zhenlai. Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-505418
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505418